Least Common Multiple of 800 and 806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 800 and 806 the smallest integer that is 322400 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 806 is 322400.

LCM(800,806) = 322400

LCM of 800 and 806

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 800 and 806

LCM of 800 and 806 is 322400

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 806. First we will calculate the prime factors of 800 and 806.

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Prime Factorization of 806


2 806
13 403
31 31
1

Prime factors of 806 are 2, 13,31. Prime factorization of 806 in exponential form is:

806 = 21×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 806.

LCM(800,806) = 25×52×131×311
LCM(800,806) = 322400

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Least Common Multiple of 800 and 806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 800 and 806, than apply into the LCM equation.

GCF(800,806) = 2
LCM(800,806) = ( 800 × 806) / 2
LCM(800,806) = 644800 / 2
LCM(800,806) = 322400

Properties of LCM 800 and 806

(i) The LCM of 806 and 800 is associative

LCM of 800 and 806 = LCM of 806 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 806

Frequently Asked Questions on LCM of 800 and 806

1. What is the LCM of 800 and 806?

Answer: LCM of 800 and 806 is 322400.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. What are the Factors of 806?

Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.

4. How to Find the LCM of 800 and 806?

Answer:

Least Common Multiple of 800 and 806 = 322400

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 806

806 = 2 x 13 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 322400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 800 and 806 is 322400.